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Finding the Third Proportional to 127,296 and 192,552

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Solution

The third proportional to 127,296 and 192,552 is: 291,260.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,296 : 192,552 = 192,552 : x
  2. Step 2: Convert to fraction form
    127,296/192,552 = 192,552/x
  3. Step 3: Cross multiply
    127,296x = 192,552 × 192,552
  4. Step 4: Simplify right side
    127,296x = 37,076,272,704
  5. Step 5: Solve for x
    x = 37,076,272,704/127,296
  6. Step 6: Final answer
    x = 291,260.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.